Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
6th Edition
ISBN: 9780321914620
Author: Jeffrey O. Bennett, William L. Briggs
Publisher: PEARSON
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Textbook Question
Chapter 7.A, Problem 1QQ
Suppose you toss one coin three times in a row and get heads, tails, heads (HTH). If you are interested in the number of heads that appear, which one of the following sets of three tosses has a different outcome but corresponds to the same event as the first set of tosses?
- THT
- HHT
- HHH
Expert Solution & Answer
To determine
The event which has a different outcome but is same as the event {HTH}.
Answer to Problem 1QQ
Solution: Option b. HHT
Explanation of Solution
Given: Suppose one coin is tossed three times in a row and get heads, tails, heads (HTH).
Method used: Number of heads in HTH is two so the event which also has two heads is same as the event {HTH}.
Calculation:
Since the event {THT} has only one heads, so option a. is incorrect.
Since the event {HHH} has three heads, so option c. is incorrect.
Since the event {HHT} has two heads, one tails, and the given event {HTH} also has two heads, one tails, so {HHT} is same as the given event.
Conclusion: Therefore, option b is correct that is HHT is the correct answer.
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Chapter 7 Solutions
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Ch. 7.A - Suppose you toss one coin three times in a row and...Ch. 7.A - During the course of the basketball season, Shawna...Ch. 7.A - A box contains 20 chocolates, but only 2 of them...Ch. 7.A - Prob. 4QQCh. 7.A - When you toss one coin, the probability that...Ch. 7.A - On a roll of two dice, Serena bets that the sum...Ch. 7.A - Suppose you toss four 6-sided dice. How many...Ch. 7.A - Suppose you toss four 6-sided dice. How many...Ch. 7.A - You are playing 5-card poker with a deck of 52...Ch. 7.A - Prob. 10QQ
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Suppose the New...Ch. 7.A - Prob. 19ECh. 7.A - Prob. 20ECh. 7.A - Prob. 21ECh. 7.A - Prob. 22ECh. 7.A - Prob. 23ECh. 7.A - Prob. 24ECh. 7.A - 19-28: Theoretical Probabilities. Use the...Ch. 7.A - Theoretical Probabilities. Use the theoretical...Ch. 7.A - 19-28: Theoretical Probabilities. Use the...Ch. 7.A - 19-28: Theoretical Probabilities. Use the...Ch. 7.A - Prob. 29ECh. 7.A - Prob. 30ECh. 7.A - Prob. 31ECh. 7.A - Prob. 32ECh. 7.A - Which Type of Probability? State which method...Ch. 7.A - 33-34: Which Type of Probability? State which...Ch. 7.A - Prob. 35ECh. 7.A - Prob. 36ECh. 7.A - Event Not Occurring. Determine the probability of...Ch. 7.A - Prob. 38ECh. 7.A - Probability Distributions. Make a probability...Ch. 7.A - 39-42: Probability Distributions. Make a...Ch. 7.A - 39-42: Probability Distributions. Make a...Ch. 7.A - 39-42: Probability Distributions. 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Suppose that 2000 people are all...Ch. 7.E - Joe Record. One of longest-standing records in...Ch. 7.E - Prob. 57ECh. 7.E - Prob. 58ECh. 7.E - Prob. 59ECh. 7.E - Prob. 60ECh. 7.E - Prob. 61ECh. 7.E - Prob. 62ECh. 7.E - Prob. 63ECh. 7.E - Prob. 64E
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